22633228661472 has 576 divisors, whose sum is σ = 78977165170176. Its totient is φ = 6050036551680.

The previous prime is 22633228661471. The next prime is 22633228661497. The reversal of 22633228661472 is 27416682233622.

22633228661472 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 32 + 2 + 86 + 61 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22633228661471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1063730898 + ... + 1063752174.

It is an arithmetic number, because the mean of its divisors is an integer number (137113133976).

Almost surely, 2^{22633228661472} is an apocalyptic number.

22633228661472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22633228661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39488582585088).

22633228661472 is an abundant number, since it is smaller than the sum of its proper divisors (56343936508704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22633228661472 is a wasteful number, since it uses less digits than its factorization.

22633228661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22463 (or 22452 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 22633228661472 in words is "twenty-two trillion, six hundred thirty-three billion, two hundred twenty-eight million, six hundred sixty-one thousand, four hundred seventy-two".